A mixed integral equation of mechanics and a generalized projection method of its solution


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Resumo

A mixed multidimensional integral equation containing integral operators of various types is studied. The case in which the equation has one compact, self-adjoint, and strongly positive operator (with constant limits of integration) and two non-self-adjoint integral Volterra operators (with a variable upper limit of integration) is considered. To solve the equation, an effective projection method allowing one to obtain the result in a form with explicitly distinguished principal singularities is proposed.

Sobre autores

A. Manzhirov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University; National Research Nuclear University MEPhI

Autor responsável pela correspondência
Email: manzh@inbox.ru
Rússia, Moscow, 117526; Moscow, 107005; Moscow, 115409

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